Answer:
The solution to the inequality is:
[tex]x<5[/tex]
The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality
[tex]2(x-3)-8< -4[/tex]
Add 8 to both sides
[tex]2\left(x-3\right)-8+8<-4+8[/tex]
[tex]2\left(x-3\right)<4[/tex]
Divide both sides by 2
[tex]\frac{2\left(x-3\right)}{2}<\frac{4}{2}[/tex]
[tex]x-3<2[/tex]
Add 3 to both sides
[tex]x-3+3<2+3[/tex]
[tex]x<5[/tex]
Thus, the solution to the inequality is:
[tex]x<5[/tex]
The number line solution graph is also attached below.
